My guess is that such a solution is not possible if we are limited to +, -, /, * operations. I don't know enough Maths to prove or disprove this. As a newcomer to programming, I tried to have a crack at this in Python. I found 23, 23.(6), 24.(3), 25 but no 24.

my answer would be 6/(1-(3/4)) that i got by brute force, but i’m not sure whether you require the all 4 arithmetics operators to be used (game statement is ambiguous for non English-native).
you introduce a game but seem reluctant to be more specific on rules. why?
btw what is the starting point to get to a result using an elegant mathematical reasoning?